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asgard_test.m
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function tests = asgard_test()
fh = localfunctions;
tests = functiontests(fh);
end
function asgard_advection1_explicit_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1 (RK3)');
[err, act_f, act_frs] = asgard(@advection1,'quiet',true,'num_steps',5);
verifyLessThan(testCase, err, 1e-3);
end
function asgard_advection1reverse_explicit_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1_reverse_flow (RK3)');
[err, act_f, act_frs] = asgard(@advection1_reverse_flow,'quiet',true,'num_steps', 5);
verifyLessThan(testCase, err, 1e-3);
end
function asgard_advection1_implicit_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1 (CN)');
[err, act_f, act_frs] = asgard(@advection1,'quiet',true,...
'timestep_method','CN','lev',4,'deg',3,'num_steps',5);
verifyLessThan(testCase, err, 3e-6);
end
function asgard_advection1_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1 (BE)');
[err, act_f, act_frs] = asgard(@advection1,'quiet',true,...
'timestep_method','BE','lev',4,'deg',3,'num_steps',5);
verifyLessThan(testCase, err, 3e-6);
end
function asgard_advection1_ode45_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1 (ode45)');
[err, act_f, act_frs] = asgard(@advection1,'quiet',true,...
'timestep_method','ode45','lev',4,'deg',3,'num_steps',1,'dt',0.0019635*5);
verifyLessThan(testCase, err, 3e-6);
end
function asgard_advection1_ode15s_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1 (ode15s)');
[err, act_f, act_frs] = asgard(@advection1,'quiet',true,...
'timestep_method','ode15s','lev',4,'deg',3,'num_steps',1,'dt',0.0019635*5);
verifyLessThan(testCase, err, 3e-6);
end
function asgard_advection1reverse_implicit_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1_reverse_flow (CN)');
[err, act_f, act_frs] = asgard(@advection1_reverse_flow, ...
'quiet',true,'timestep_method', 'CN','lev',4,'deg',3,'num_steps',5);
verifyLessThan(testCase, err, 3e-6);
end
function asgard_advection1reverse_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing advection1_reverse_flow (BE)');
[err, act_f, act_frs] = asgard(@advection1_reverse_flow, ...
'quiet',true,'timestep_method', 'BE','lev',4,'deg',3,'num_steps',5);
verifyLessThan(testCase, err, 3e-6);
end
function asgard_diffusion1_explicit_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion1 (RK3)');
[err,act_f,act_frs] = asgard(@diffusion1,'lev',3,'quiet',true,'deg',3);
verifyLessThan(testCase,err,2.8e-5);
end
function asgard_diffusion1_ode45_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion1 (ode45)');
[err,act_f,act_frs] = asgard(@diffusion1,'lev',3,'quiet',true,...
'deg',3,'dt',0.00015625*5,'num_steps',1,'timestep_method','ode45');
verifyLessThan(testCase,err,2.8e-5);
end
function asgard_diffusion1_ode15s_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion1 (ode15s)');
[err,act_f,act_frs] = asgard(@diffusion1,'lev',3,'quiet',true,...
'deg',3,'dt',0.00015625*5,'num_steps',1,'timestep_method','ode15s');
verifyLessThan(testCase,err,2.8e-5);
end
function asgard_diffusion1_ode15i_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion1 (ode15i)');
[err,act_f,act_frs] = asgard(@diffusion1,'lev',3,'quiet',true,...
'deg',3,'dt',0.00015625*5,'num_steps',1,'timestep_method','ode15i');
verifyLessThan(testCase,err,2.8e-5);
end
function asgard_diffusion1_implicit_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion1 (CN)');
[err,act_f,act_frs] = asgard(@diffusion1,'lev',3,'quiet',true,'deg',3,'timestep_method', 'CN');
verifyLessThan(testCase,err,2.8e-5);
end
function asgard_diffusion1_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion1 (BE)');
[err,act_f,act_frs] = asgard(@diffusion1,'lev',3,'quiet',true,'deg',3,'timestep_method', 'BE');
verifyLessThan(testCase,err,2.8e-5);
end
function asgard_continuity1_ex_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity1 (RK3)');
[err,act_f,act_frs] = asgard(@continuity1,'quiet',true,'num_steps',2);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity1_adapt_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity1 (CN/adapt)');
[err,act_f,act_frs] = asgard(@continuity1,'quiet',true,'timestep_method', 'CN','num_steps',2,'adapt',true);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity1_oldhash_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity1 (RK3/old_hash)');
[err,act_f,act_frs] = asgard(@continuity1,'quiet',true,'num_steps',2,'use_oldhash',true);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity2_expliciti_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity2 (RK3)');
[err,act_f,act_frs] = asgard(@continuity2,'quiet',true,'lev',4,'deg',3,'num_steps',2);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity2_implicit_CN_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity2 (CN)');
[err,act_f,act_frs] = asgard(@continuity2,'quiet',true,...
'timestep_method', 'CN','lev',4,'deg',3,'num_steps',2);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity2_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity2 (BE)');
[err,act_f,act_frs] = asgard(@continuity2,'quiet',true,...
'timestep_method', 'BE','lev',4,'deg',3,'num_steps',2);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity2_implicit_FG_BE_fast_matrix_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity2 (FG/BE) with fast_matrix_assembly');
[err1] = asgard(@continuity2,'quiet',true,...
'timestep_method', 'BE','lev',3,'deg',3,'num_steps',2,...
'grid_type','FG','fast_FG_matrix_assembly',false);
verifyLessThan(testCase,err1,1.5e-6);
[err2] = asgard(@continuity2,'quiet',true,...
'timestep_method', 'BE','lev',3,'deg',3,'num_steps',2,...
'grid_type','FG','fast_FG_matrix_assembly',true);
verifyLessThan(testCase,err2,1.5e-6);
verifyLessThan(testCase,norm(err1-err2),1e-12);
end
function asgard_continuity2_adapt_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity2 (CN/adapt)');
[err,act_f,act_frs] = asgard(@continuity2,'quiet',true,...
'timestep_method', 'CN','lev',4,'deg',3,'num_steps',2,'adapt',true);
verifyLessThan(testCase,err,1e-4);
end
function asgard_continuity2_adapt_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing continuity2 (BE/adapt)');
[err,act_f,act_frs] = asgard(@continuity2,'quiet',true,...
'timestep_method', 'BE','lev',4,'deg',3,'num_steps',2,'adapt',true);
verifyLessThan(testCase,err,1e-4);
end
function asgard_fokkerplanck1_pitch_E_explicit_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_pitch_E (RK3)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_pitch_E,'lev',4,'quiet',true,'deg',3,'max_lev',8,'case',2);
verifyLessThan(testCase,err,7e-4);
end
function asgard_fokkerplanck1_pitch_E_implicit_CN_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_pitch_E (CN)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_pitch_E,...
'lev',4,'quiet',true,'deg',3,'timestep_method','CN','max_lev',8,'case',2);
verifyLessThan(testCase,err,7e-4);
end
function asgard_fokkerplanck1_pitch_E_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_pitch_E (BE)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_pitch_E,...
'lev',4,'quiet',true,'deg',3,'timestep_method','BE','max_lev',8,'case',2);
verifyLessThan(testCase,err,7e-4);
end
function asgard_fokkerplanck1_pitch_E_adapt_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_pitch_E (CN/adapt)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_pitch_E,...
'lev',4,'quiet',true,'deg',3,'timestep_method','CN','adapt',true,'max_lev',8,'case',2);
verifyLessThan(testCase,err,1.5e-3); % TODO : need to look into why this is larger than the adapt=false approach.
end
function asgard_diffusion2_explicit_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (RK3)');
[err,act_f,act_frs] = asgard(@diffusion2,'lev',3,'quiet',true,'deg',3);
verifyLessThan(testCase,err,1.5e-5);
end
function asgard_diffusion2_implicit_CN_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (CN)');
[err,act_f,act_frs] = asgard(@diffusion2, ...
'lev',3,'quiet',true,'deg',3,'timestep_method', 'CN');
verifyLessThan(testCase,err,1.5e-5);
end
function asgard_diffusion2_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (BE)');
[err,act_f,act_frs] = asgard(@diffusion2, ...
'lev',3,'quiet',true,'deg',3,'timestep_method', 'BE');
verifyLessThan(testCase,err,1.5e-5);
end
function asgard_diffusion2_oldhash_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (CN/oldhash)');
[err,act_f,act_frs] = asgard(@diffusion2, ...
'lev',3,'quiet',true,'deg',3,'timestep_method', 'CN','use_oldhash',true);
verifyLessThan(testCase,err,1.5e-5);
end
function asgard_diffusion2_oldhash_connectivity_SG_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (CN/oldhash/connectivity/SG)');
[err,act_f,act_frs] = asgard(@diffusion2,'lev',3,'quiet',true,'deg',3,'timestep_method','BE','use_oldhash',true,'use_connectivity',true);
verifyLessThan(testCase,err,1.4e-5);
end
function asgard_diffusion2_oldhash_connectivity_FG_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (CN/oldhash/connectivity/FG)');
[err,act_f,act_frs] = asgard(@diffusion2,'lev',3,'quiet',true,'deg',3,'timestep_method','BE','use_oldhash',true,'use_connectivity',true,'grid_type','FG');
verifyLessThan(testCase,err,1.4e-5);
end
function asgard_diffusion2_adapt_test(testCase)
addpath(genpath(pwd));
disp('Testing diffusion2 (CN/adapt)');
[err,act_f,act_frs] = asgard(@diffusion2,'lev',3,'quiet',true,'deg',3,'timestep_method', 'CN','adapt',true);
verifyLessThan(testCase,err,9.5e-4);
end
function asgard_fokkerplanck1_momentum_C_ode15s_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (ode15s)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,...
'timestep_method','ode15s','lev',3,'num_steps',1,'dt',1.875*30,'quiet',true,'case',2);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_CN_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (CN)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,...
'timestep_method','CN','lev',3,'num_steps',30,'dt',1.875,'quiet',true,'case',2);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_CN_TIA_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (CN / TIA)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,...
'timestep_method','CN','lev',3,'num_steps',30,'dt',1.875,...
'quiet',true,'time_independent_A',true,'case',2);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (BE)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,...
'timestep_method','BE','lev',3,'num_steps',30,'dt',1.875,'quiet',true,'case',2);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_BE_TIA_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (BE / TIA)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,...
'timestep_method','BE','lev',3,'num_steps',30,'dt',1.875,...
'quiet',true,'time_independent_A',true,'case',2);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_implicit_BE_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (BE)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,'timestep_method','BE', ...
'lev',3,'num_steps',30,'CFL',1.5,'quiet',true);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_implicit_BE_TIA_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (BE / TIA)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,'timestep_method','BE', ...
'lev',3,'num_steps',30,'CFL',1.5,'quiet',true,'time_independent_A',true);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_implicit_CN_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (CN)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,'timestep_method','CN', ...
'lev',3,'num_steps',30,'CFL',1.5,'quiet',true);
verifyLessThan(testCase,err,5.4e-2);
end
function asgard_fokkerplanck1_momentum_C_implicit_CN_TIA_test(testCase)
addpath(genpath(pwd));
disp('Testing fokkerplanck1_momentum_C (CN / TIA)');
[err,act_f,act_frs] = asgard(@fokkerplanck1_momentum_C,'timestep_method','CN', ...
'lev',3,'num_steps',30,'CFL',1.5,'quiet',true,'time_independent_A',true);
verifyLessThan(testCase,err,5.4e-2);
end
function end_points_grid_test(testCase)
addpath(genpath(pwd));
disp('Testing quadrature_with_end_points');
[err1,~,~,~,err_rsq]=asgard(@projecti_diff1,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature');
[err2,~,~,~,err_rsf]=asgard(@projecti_diff1,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature_with_end_points');
relErr = abs(err_rsq-err_rsf)/abs(max([err_rsq,err_rsf]));
verifyLessThan(testCase,relErr,1);
% dlg - i'm kind of surprised the difference between the quadrature points
% and those plus two end points give such a larger difference in the error,
% although it plots correctly.
end
function fixed_grid_test(testCase)
addpath(genpath(pwd));
disp('Testing fixed_grid routine');
[err1,~,~,~,err_rsq]=asgard(@projecti_diff1,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature');
[err2,~,~,~,err_rsf]=asgard(@projecti_diff1,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','fixed');
relErr = abs(err_rsq-err_rsf)/abs(max([err_rsq,err_rsf]));
verifyLessThan(testCase,relErr,1);
end
function uniform_grid_test(testCase)
addpath(genpath(pwd));
disp('Testing uniform_grid routine on projecti_diff1');
[err1,~,~,~,err_rsq]=asgard(@projecti_diff1,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature');
[err2,~,~,~,err_rsu]=asgard(@projecti_diff1,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','uniform');
relErr = abs(err_rsq-err_rsu)/abs(max([err_rsq,err_rsu]));
verifyLessThan(testCase,relErr,1);
end
function end_points_grid_2D_test(testCase)
addpath(genpath(pwd));
disp('Testing output on end points on diffusion2');
[err1,~,~,~,err_rsq]=asgard(@diffusion2,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature');
[err2,~,~,~,err_rsf]=asgard(@diffusion2,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature_with_end_points');
relErr = abs(err_rsq-err_rsf)/abs(max([err_rsq,err_rsf]));
verifyLessThan(testCase,relErr,1);
end
function fixed_grid_2D_test(testCase)
addpath(genpath(pwd));
disp('Testing fixed_grid routine on diffusion2');
[err1,~,~,~,err_rsq]=asgard(@diffusion2,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature');
[err2,~,~,~,err_rsf]=asgard(@diffusion2,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','fixed');
relErr = abs(err_rsq-err_rsf)/abs(max([err_rsq,err_rsf]));
verifyLessThan(testCase,relErr,1);
end
function uniform_grid_2D_test(testCase)
addpath(genpath(pwd));
disp('Testing fixed_grid routine');
[err1,~,~,~,err_rsq]=asgard(@diffusion2,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','quadrature');
[err2,~,~,~,err_rsu]=asgard(@diffusion2,'timestep_method','BE', 'lev',3,'deg',3,'num_steps',1,'dt',0.0001,'quiet',true,'output_grid','uniform');
relErr = abs(err_rsq-err_rsu)/abs(max([err_rsq,err_rsu]));
verifyLessThan(testCase,relErr,1);
end
function matrix_exponential_sources1_test(testCase)
addpath(genpath(pwd));
disp('Testing matrix exponential with sources in 1D');
[err,fval]=asgard(@continuity1,'timestep_method','matrix_exponential','lev',3,'deg',4,'num_steps',1,'dt',0.01,'quiet',true);
rel_err = err / norm(fval);
verifyLessThan(testCase,rel_err,1e-4);
end
function matrix_exponential_bcs2_test(testCase)
addpath(genpath(pwd));
disp('Testing matrix exponential with boundary condition vector in 2D');
[err,fval]=asgard(@diffusion2,'timestep_method','matrix_exponential','lev',3,'deg',4,'num_steps',1,'dt',0.02,'quiet',true);
rel_err = err / norm(fval);
verifyLessThan(testCase,rel_err,1e-5);
end
function matrix_exponential_test(testCase)
addpath(genpath(pwd));
disp('Testing matrix exponential with LHS');
[err,fval]=asgard(@fokkerplanck2_E,'timestep_method','matrix_exponential','lev',3,'deg',4,'num_steps',1,'dt',0.01,'quiet',true,'case',3);
rel_err = err / norm(fval);
verifyLessThan(testCase,rel_err,2e-5);
end
function ode15s_test(testCase)
addpath(genpath(pwd));
disp('Testing ode15s with LHS');
[err,fval]=asgard(@fokkerplanck2_E,'timestep_method','ode15s','lev',3,'deg',3,'num_steps',1,'dt',0.01,'quiet',true,'case',3);
rel_err = err / norm(fval);
verifyLessThan(testCase,rel_err,1e-4);
end